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Finding the Fourth Proportional to 11,699.82, 17,628.67 and 9,665.40

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Solution

The fourth proportional to 11,699.82, 17,628.67 and 9,665.40 is: 14,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.82 : 17,628.67 = 9,665.40 : x
  2. Step 2: Convert to fraction form
    11,699.82/17,628.67 = 9,665.40/x
  3. Step 3: Cross multiply
    11,699.82x = 17,628.67 × 9,665.40
  4. Step 4: Simplify right side
    11,699.82x = 170,388,147.02
  5. Step 5: Solve for x
    x = 170,388,147.02/11,699.82
  6. Step 6: Final answer
    x = 14,563.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.